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Finding the Fourth Proportional to 662,902,509.60, 994,353,764.40 and 421,635,002.40

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Solution

The fourth proportional to 662,902,509.60, 994,353,764.40 and 421,635,002.40 is: 632,452,503.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,902,509.60 : 994,353,764.40 = 421,635,002.40 : x
  2. Step 2: Convert to fraction form
    662,902,509.60/994,353,764.40 = 421,635,002.40/x
  3. Step 3: Cross multiply
    662,902,509.60x = 994,353,764.40 × 421,635,002.40
  4. Step 4: Simplify right side
    662,902,509.60x = 419,254,351,839,243,008
  5. Step 5: Solve for x
    x = 419,254,351,839,243,008/662,902,509.60
  6. Step 6: Final answer
    x = 632,452,503.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.